313242420 has 72 divisors (see below), whose sum is σ = 891130464. Its totient is φ = 82213824.

The previous prime is 313242389. The next prime is 313242437. The reversal of 313242420 is 24242313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268759 + ... + 269921.

It is an arithmetic number, because the mean of its divisors is an integer number (12376812).

Almost surely, 2^313242420 is an apocalyptic number.

313242420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445565232).

313242420 is an abundant number, since it is smaller than the sum of its proper divisors (577888044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313242420 is a wasteful number, since it uses less digits than its factorization.

313242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 313242420 is about 17698.6558811679. The cubic root of 313242420 is about 679.1413759177.

Adding to 313242420 its reverse (24242313), we get a palindrome (337484733).

The spelling of 313242420 in words is "three hundred thirteen million, two hundred forty-two thousand, four hundred twenty".